CSPTRI(3)

📦 version 3.12.0, in opensuse-leap 16.0

💅 CSPTRI(3) — Library Functions Manual 💅

okay bestie, welcome to the CSPTRI(3) page. The header path is /home/abui...RC/csptri.f(3), and yes, this is the Library Functions Manual vibe. Buckle up, we're getting into packed-storage business. 🫶

✨ NAME ✨

/home/abuild/rpmbuild/BUILD/lapack-static-3.12.0-build/lapack-3.12.0/SRC/csptri.f — that's the file, periodt. It's giving source-file realness. 💅

🌸 SYNOPSIS 🌸

Functions/Subroutines 🎀

subroutine CSPTRI (uplo, n, ap, ipiv, work, info)

CSPTRI

🦋 Function/Subroutine Documentation 🦋

subroutine CSPTRI (character uplo, integer n, complex, dimension( * ) ap, integer, dimension( * ) ipiv, complex, dimension( * ) work, integer info)

CSPTRI

Purpose 🎯

CSPTRI computes the inverse of a complex symmetric indefinite matrix A in packed storage using the factorization A = U*D*U**T or A = L*D*L**T computed by CSPTRF.

Parameters 🌈

UPLO — UPLO is CHARACTER*1 Specifies whether the details of the factorization are stored as an upper or lower triangular matrix.

  • 'U': Upper triangular, form is A = U*D*U**T;
  • 'L': Lower triangular, form is A = L*D*L**T.

N — N is INTEGER The order of the matrix A. N >= 0.

AP — AP is COMPLEX array, dimension (N*(N+1)/2) On entry, the block diagonal matrix D and the multipliers used to obtain the factor U or L as computed by CSPTRF, stored as a packed triangular matrix.

On exit, if INFO = 0, the (symmetric) inverse of the original matrix, stored as a packed triangular matrix. The j-th column of inv(A) is stored in the array AP as follows: if UPLO = 'U', AP(i + (j-1)*j/2) = inv(A)(i,j) for 1<=i<=j; if UPLO = 'L', AP(i + (j-1)*(2n-j)/2) = inv(A)(i,j) for j<=i<=n.

IPIV — IPIV is INTEGER array, dimension (N) Details of the interchanges and the block structure of D as determined by CSPTRF.

WORK — WORK is COMPLEX array, dimension (N)

INFO — INFO is INTEGER

  • = 0: successful exit
  • < 0: if INFO = -i, the i-th argument had an illegal value
  • > 0: if INFO = i, D(i,i) = 0; the matrix is singular and its inverse could not be computed.

Author 🌟

  • Univ. of Tennessee
  • Univ. of California Berkeley
  • Univ. of Colorado Denver
  • NAG Ltd.

Definition at line 108 of file csptri.f. 📍

✨ Author ✨

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okay that's the whole page, bestie. Signing off from /home/abui...RC/csptri.f(3) with LAPACK Version 3.12.0 energy. Stay packed, stay slay. 💖✨

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